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Finding the Third Proportional to 700,023 and 1,085,962.50

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Solution

The third proportional to 700,023 and 1,085,962.50 is: 1,684,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,023 : 1,085,962.50 = 1,085,962.50 : x
  2. Step 2: Convert to fraction form
    700,023/1,085,962.50 = 1,085,962.50/x
  3. Step 3: Cross multiply
    700,023x = 1,085,962.50 × 1,085,962.50
  4. Step 4: Simplify right side
    700,023x = 1,179,314,551,406.25
  5. Step 5: Solve for x
    x = 1,179,314,551,406.25/700,023
  6. Step 6: Final answer
    x = 1,684,679.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.